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Finding the Fourth Proportional to 801.51, 1,106.09 and 442.59

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Solution

The fourth proportional to 801.51, 1,106.09 and 442.59 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.51 : 1,106.09 = 442.59 : x
  2. Step 2: Convert to fraction form
    801.51/1,106.09 = 442.59/x
  3. Step 3: Cross multiply
    801.51x = 1,106.09 × 442.59
  4. Step 4: Simplify right side
    801.51x = 489,544.37
  5. Step 5: Solve for x
    x = 489,544.37/801.51
  6. Step 6: Final answer
    x = 610.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.